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Finding the Fourth Proportional to 384,152.60, 576,056.10 and 147,416.60

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Solution

The fourth proportional to 384,152.60, 576,056.10 and 147,416.60 is: 221,058.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,152.60 : 576,056.10 = 147,416.60 : x
  2. Step 2: Convert to fraction form
    384,152.60/576,056.10 = 147,416.60/x
  3. Step 3: Cross multiply
    384,152.60x = 576,056.10 × 147,416.60
  4. Step 4: Simplify right side
    384,152.60x = 84,920,231,671.26
  5. Step 5: Solve for x
    x = 84,920,231,671.26/384,152.60
  6. Step 6: Final answer
    x = 221,058.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.